Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sign that is shaped like a triangle
Mathematics
flareon177
Question
Steve made a sign for his room that is shaped like a triangle. It is 4.5 feet long and 3 feet high. He wants to make another sign that is shaped like a triangle and similar to the first sign. The new sign will be 4 feet high.
Part A
Write a proportion that Steve can use to find the length, x, of the new sign.
Part B
What is the length, in feet, of the new sign? Make sure to show your work and explain your reasoning.
Part A
Write a proportion that Steve can use to find the length, x, of the new sign.
Part B
What is the length, in feet, of the new sign? Make sure to show your work and explain your reasoning.
1 Answer

1. User Answers bayosanuade
Answer: PART A : [tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
PART B : 5.9 FEET
Stepbystep explanation:
Length of the first sign = 4.4 feet
height of the first sign = 3 feet
Length of the second sign = x feet
height of the second sign = 4 feet
If two shapes are similar , then the ratio of their sides are equal,
That is ;
[tex]\frac{h_{1}}{h_{2} }[/tex] = [tex]\frac{L_{1}}{L_{2} }[/tex]
PART A
[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
PART B
[tex]\frac{4.4}{x}[/tex] = [tex]\frac{3}{4}[/tex]
cross multiplying , we have
3x = 4.4 x 4
3x = 17.6
Divide through by 3
x = 17.6/3
x = 5.86666666666667
x≈ 5.9 feet
Therefore , the length of the new sign is 5.9 feet